Given numbers are 792,413,121,852,138

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 792,413,121,852,138 is 5875625448.

Find LCM of 792,413,121,852,138 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 11 x 6 x 413 x 11 x 71 x 23 = 5875625448

Therefore, the lowest common multiple of 792,413,121,852,138 is 5875625448.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

792 x 413 x 121 x 852 x 138 = 4653495354816

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

413 : 1, 7, 59, 413

121 : 1, 11, 121

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,413,121,852,138, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

413:7x 59

121:11x 11

852:2x 2x 3x 71

138:2x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 11 = 792

Therefore, the value for common factors is 792.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4653495354816/(1x792)

LCM = 4653495354816/792

LCM = 5875625448

Thus, we can understand that the LCM of 792,413,121,852,138 is 5875625448.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 392, 183, 435, 618, 208
• LCM of 832, 915, 524, 697, 955
• LCM of 315, 322, 552, 496, 658
• LCM of 480, 182, 607, 737, 304
• LCM of 157, 293, 374, 693, 574

1. What is the LCM of 792, 413, 121, 852, 138?

Answer: LCM of 792, 413, 121, 852, 138 is 5875625448.

2. How to calculate the LCM of 792, 413, 121, 852, 138?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 792, 413, 121, 852, 138.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.